(*******************************************************************
This file was generated automatically by the Mathematica front end.
It contains Initialization cells from a Notebook file, which
typically will have the same name as this file except ending in
".nb" instead of ".m".
This file is intended to be loaded into the Mathematica kernel using
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DO NOT EDIT THIS FILE. This entire file is regenerated
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BeginPackage["SymbolicLinearization`"]
SymbolicLinearization::usage=
"Computes an n-th order linearization by using the Taylor approximation around a prespecified expansion point in the prespecified variables. Input: function to be linearized, arguments of this function, coordinates of expansion point, order of expansion. Output: linearized function"
Begin["`Private`"]
\!\(SymbolicLinearization[functionexpand_, listofvariables_, expansioncoordinate_, expansionorder_: 1] := \((expansions = Table[FullSimplify[ReplaceAll[ReplaceAll[Normal[Series[ReplaceAll[functionexpand, Drop[Table[listofvariables[\([i]\)] -> expansioncoordinate[\([i]\)], {i, 1, Length[listofvariables]}], {j, j}]], {listofvariables[\([j]\)], expansioncoordinate[\([j]\)], expansionorder}]], \((listofvariables[\([j]\)] - expansioncoordinate[\([j]\)])\) -> expansioncoordinate[\([j]\)]*\(If[Length[Level[Head[listofvariables[\([j]\)]], 1]] > 0, \(ToExpression[ToString[\(Head[listofvariables[\([j]\)]]\)[\([1]\)]] <> "\"]\)\_\(\(Head[listofvariables[\([j]\)]]\)[\([2]\)]\), ToExpression[ToString[Head[listofvariables[\([j]\)]]] <> "\"]]\)[listofvariables[\([j, 1]\)]]], listofvariables[\([j]\)] \[Rule] expansioncoordinate[\([j]\)] + expansioncoordinate[\([j]\)]*\(If[Length[Level[Head[listofvariables[\([j]\)]], 1]] > 0, \(ToExpression[ToString[\(Head[listofvariables[\([j]\)]]\)[\([1]\)]] <> "\"]\)\_\(\(Head[listofvariables[\([j]\)]]\)[\([2]\)]\), ToExpression[ToString[Head[listofvariables[\([j]\)]]] <> "\"]]\)[listofvariables[\([j, 1]\)]]]] - ReplaceAll[functionexpand, Table[listofvariables[\([i]\)] -> expansioncoordinate[\([i]\)], {i, 1, Length[listofvariables]}]], {j, 1, Length[listofvariables]}]; Total[expansions])\)\[IndentingNewLine]
End[]\[IndentingNewLine]
EndPackage[]\)